4224261749760 has 2112 divisors, whose sum is σ = 17767400595840. Its totient is φ = 942774681600.

The previous prime is 4224261749737. The next prime is 4224261749803. The reversal of 4224261749760 is 679471624224.

4224261749760 is a `hidden beast` number, since 4 + 2 + 2 + 426 + 1 + 74 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4224261749697 and 4224261749706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41824373710 + ... + 41824373810.

Almost surely, 2^{4224261749760} is an apocalyptic number.

4224261749760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4224261749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8883700297920).

4224261749760 is an abundant number, since it is smaller than the sum of its proper divisors (13543138846080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4224261749760 is a wasteful number, since it uses less digits than its factorization.

4224261749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4224261749760 in words is "four trillion, two hundred twenty-four billion, two hundred sixty-one million, seven hundred forty-nine thousand, seven hundred sixty".